48198074112 has 252 divisors, whose sum is σ = 144930016224. Its totient is φ = 15989944320.

The previous prime is 48198074083. The next prime is 48198074191. The reversal of 48198074112 is 21147089184.

48198074112 is a `hidden beast` number, since 48 + 198 + 0 + 7 + 411 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 50574628 + ... + 50575580.

It is an arithmetic number, because the mean of its divisors is an integer number (575119112).

Almost surely, 2^48198074112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48198074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72465008112).

48198074112 is an abundant number, since it is smaller than the sum of its proper divisors (96731942112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48198074112 is an frugal number, since it uses more digits than its factorization.

48198074112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 48198074112 in words is "forty-eight billion, one hundred ninety-eight million, seventy-four thousand, one hundred twelve".